Search a number
-
+
20130333213300 = 22352832491932443
BaseRepresentation
bin1001001001110111101010…
…10111000100001001110100
32122021102220112101201222220
410210323311113010021310
510114303410300311200
6110451425235122340
74145240265036402
oct444736527041164
978242815351886
1020130333213300
116461254336262
122311487a433b0
13b30389214aab
144d8455aa4472
1524d9820b94a0
hex124ef55c4274

20130333213300 has 144 divisors (see below), whose sum is σ = 58949678645760. Its totient is φ = 5303036799360.

The previous prime is 20130333213197. The next prime is 20130333213301. The reversal of 20130333213300 is 331233303102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130333213301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620466879 + ... + 620499321.

Almost surely, 220130333213300 is an apocalyptic number.

20130333213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130333213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29474839322880).

20130333213300 is an abundant number, since it is smaller than the sum of its proper divisors (38819345432460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20130333213300 is a wasteful number, since it uses less digits than its factorization.

20130333213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57462 (or 57455 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 20130333213300 its reverse (331233303102), we get a palindrome (20461566516402).

The spelling of 20130333213300 in words is "twenty trillion, one hundred thirty billion, three hundred thirty-three million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 24919 32443 49838 64886 74757 97329 99676 124595 129772 149514 162215 194658 249190 299028 324430 373785 389316 486645 498380 622975 648860 747570 811075 973290 1245950 1495140 1622150 1868925 1946580 2068277 2433225 2491900 2692769 3244300 3737850 4136554 4866450 5385538 6204831 7475700 8078307 8273108 9732900 10341385 10771076 12409662 13463845 16156614 20682770 24819324 26927690 31024155 32313228 40391535 41365540 51706925 53855380 62048310 67319225 80783070 103413850 124096620 134638450 155120775 161566140 201957675 206827700 269276900 310241550 403915350 620483100 807830700 808447117 1616894234 2425341351 3233788468 4042235585 4850682702 8084471170 9701365404 12126706755 16168942340 20211177925 24253413510 40422355850 48506827020 60633533775 67101110711 80844711700 121267067550 134202221422 201303332133 242534135100 268404442844 335505553555 402606664266 671011107110 805213328532 1006516660665 1342022214220 1677527767775 2013033321330 3355055535550 4026066642660 5032583303325 6710111071100 10065166606650 20130333213300